Lower Heating Value Combined Heat and Power Efficiency Calculation
What is the lower heating value combined heat and power efficiency of the plant (%)?
What is the formula to calculate the lower heating value combined heat and power efficiency of the plant?
Lower Heating Value Combined Heat and Power Efficiency Calculation
The lower heating value combined heat and power (CHP) efficiency of the plant can be calculated using the following formula:
Efficiency = (Useful Energy Output / Energy Input) * 100
Where:
Useful Energy Output = Electrical Energy Output + Heat Energy Output
Electrical Energy Output = Rated Power * Capacity Factor * 1 hour
Heat Energy Output = Heat Energy Output at Rated Power * Capacity Factor * 1 hour
Energy Input = Fuel Energy Input * Capacity Factor * 1 hour
Given the information:
Rated Power = 200 kW
Capacity Factor = 60% (0.6)
Heat Energy Output at Rated Power = 300,000 Btu/h
Fuel Energy Input = Rated Power / Heat Rate
First, let's calculate the fuel energy input using the heat rate:
Fuel Energy Input = Rated Power / Heat Rate
Fuel Energy Input = 200 kW / 9000 Btu/kWhe = 0.0222 MMBtu (Million Btu)
Now, let's calculate the useful energy output:
Electrical Energy Output = Rated Power * Capacity Factor * 1 hour
Electrical Energy Output = 200 kW * 0.6 * 1 h = 120 kWhe
Heat Energy Output = Heat Energy Output at Rated Power * Capacity Factor * 1 hour
Heat Energy Output = 300,000 Btu/h * 0.6 * 1 h = 180,000 Btu
Useful Energy Output = Electrical Energy Output + Heat Energy Output
Useful Energy Output = 120 kWhe + 180,000 Btu = 120 kWhe + 0.18 MMBtu
Now, we can calculate the efficiency:
Efficiency = (Useful Energy Output / Energy Input) * 100
Efficiency = (120 kWhe + 0.18 MMBtu) / (0.0222 MMBtu) * 100
Calculating this value will give you the lower heating value combined heat and power efficiency of the plant as a percentage.